Answer:
z - 2*x - 1.5*y = 0 maximize
subject to:
3*x + 5*y ≤ 800
8*x + 3*y ≤ 1200
x, y > 0
Step-by-step explanation:
Formulation:
Kane Manufacturing produce x units of model A (fireplace grates)
and y units of model B
quantity Iron cast lbs labor (min) Profit $
Model A x 3 8 2
Model B y 5 3 1.50
We have 800 lbs of iron cast and 1200 min of labor available
We need to find out how many units x and units y per day to maximiza profit
First constraint Iron cast lbs 800 lbs
3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800
Second constraint labor 1200 min available
8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200
Objective function
z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0
x > 0 y > 0
The first table is ( to apply simplex method )
z x y s₁ s₂ Cte
1 -2 -1.5 0 0 0
0 3 5 1 0 800
0 8 3 0 1 1200
Between 75 and 98.
Step-by-step explanation:
Let's first have a look at the previous data available:
Friday, 27 dunk teachers out of 215 participants (12.5%)
Saturday: 54 dunk teachers out of 417 participants (12.9%)
Sunday: 39 dunk teachers out of 368 participants (10.6%)
So, based on the previous 3 days, she can expect between 10% and 13% will dunk a teacher.
If she has 750 contestants on Monday, the number of winners should then be in the range of 75 (10% of 750) and 98 (13% of 750).
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
<h3>Mean of a data.</h3>
Mean is one of the measure of dispersion and is the avearage of a set of data.
According to the question, the magazine reports that the most common gas mileage was 24 mpg. This shows that reports have published several gas mileages for cars and truck and the average of this mileage is 24mpg
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
Learn more on mean here: brainly.com/question/14532771
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Answer:
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Answer:
because in the bottom eqution it shows us x-3=y therefor we could re-write the top equation as x+x-3=11
